5.20 一个混合算法与面向对象思想的例子

1，被动申明
2，方法的封装
3，方法的调用

///  Fraction.h//  5.19_0C_property_HW////  Created by rimi on 15/5/19.//  Copyright (c) 2015年 rectinajh. All rights reserved.//#import <Foundation/Foundation.h>//枚举类型，限制算法的加减乘除typedef enum _Operation{    Plus = -1,    Substration ,    Multiplocation ,    Dividing ,}Operation;@interface Fraction : NSObject@property (assign,nonatomic)NSInteger molecular; //分子@property (assign,nonatomic)NSInteger denominator;//分母//- (instancetype)initWithmolecular :(NSInteger)molecular1//                    andDenominator:(NSInteger)denominator1;//////- (void)print; //显示分数//- (void)add : (Fraction *) Frac;//分数的相加//- (Fraction *)substrate :(Fraction *)Frac;//分数的减法//- (Fraction *)multiply  :(Fraction *)Frac;//乘法//- (Fraction *)divide :(Fraction *)Frac;//除法- (Fraction *)commonDenominator:(Fraction *)other;- (Fraction *) plus:(Fraction *)other;- (Fraction *)substration:(Fraction *)other;- (Fraction *)multiplocation:(Fraction *)other;- (Fraction *)dividing:(Fraction *)other;- (Fraction *)calculationWithFraction:(Fraction *)other                            Operation:(Operation)operation;@end

////  Fraction.m//  5.19_0C_property_HW////  Created by rimi on 15/5/19.//  Copyright (c) 2015年 rectinajh. All rights reserved.//#import "Fraction.h"@implementation Fraction/***********************************************************************///通分：将2个分数分母变成一样，取最小公倍数- (Fraction *)commonDenominator:(Fraction *)other{    Fraction *result = [[Fraction alloc] init];    //求最小公倍数的分母    for (NSInteger i = self.denominator ;i <= self.denominator*other.denominator; i ++)    {        if (i % self.denominator == 0 && i % other.denominator == 0)        {            result.denominator = i; //通分结果的分母设置为这个最小公倍数i            break;        }    }    result.molecular = self.molecular * result.denominator/self.denominator;    return result;}//约分- (void)simpleFraction{    //求分子分母的最大公约数，然后同时除    for (NSInteger i = 1 ; i < self.molecular; i ++) {        if (self.molecular % i == 0 && self.denominator % i == 0) {            //分子分母同时除最大公约数            self.molecular /= i;            self.denominator /= i;            break;        }    }}//加法方法- (Fraction *) plus:(Fraction *)other{    Fraction *result = [[Fraction alloc] init];    //将self与other通分，将2个分母变成一样，取最小公倍数    Fraction * selfResult = [self commonDenominator:other];    Fraction * otherResult = [other commonDenominator:self];    result.denominator = selfResult.denominator;//结果分母，等于通分后的分数的分母    result.molecular = selfResult.molecular + otherResult.molecular;//结果的分子，等于两个分子想家    [result simpleFraction];//约分调用    return result;}//减法方法- (Fraction *)substration:(Fraction *)other{    Fraction *result = [[Fraction alloc] init];    //将self与other通分，将2个分母变成一样，取最小公倍数    Fraction * selfResult = [self commonDenominator:other];    Fraction * otherResult = [other commonDenominator:self];    result.denominator = selfResult.denominator;//结果分母，等于通分后的分数的分母    result.molecular = selfResult.molecular - otherResult.molecular;//结果的分子，等于两个分子想家    [result simpleFraction];//约分调用    return result;}//乘法方法- (Fraction *)multiplocation:(Fraction *)other{    Fraction *result = [[Fraction alloc] init];    //将self与other通分，将2个分母变成一样，取最小公倍数    Fraction * selfResult = [self commonDenominator:other];    Fraction * otherResult = [other commonDenominator:self];    result.denominator = selfResult.denominator * otherResult.denominator;    result.molecular = selfResult.molecular * otherResult.molecular;    [result simpleFraction];    return result;}//除法方法- (Fraction *)dividing:(Fraction *)other{    Fraction *result = [[Fraction alloc] init];    //将self与other通分，将2个分母变成一样，取最小公倍数    Fraction * selfResult = [self commonDenominator:other];    Fraction * otherResult = [other commonDenominator:self];    result.denominator = selfResult.denominator * otherResult.molecular;    result.molecular = selfResult.molecular * otherResult.denominator;    [result simpleFraction];    return result;}- (NSString *)description{    return [NSString stringWithFormat:@"%ld/%ld",self.molecular,self.denominator]; //被动调用，无需在主函数}//封装 将4个方法封装到一起，保留相同部分- (Fraction *)calculationWithFraction:(Fraction *)other                            Operation:(Operation)operation{    Fraction *result = [[Fraction alloc] init];    //将self与other通分，将2个分母变成一样，取最小公倍数    Fraction * selfResult = [self commonDenominator:other];    Fraction * otherResult = [other commonDenominator:self];    switch (operation ) {        case Plus:            //完成加法运算        result.denominator = selfResult.denominator;//结果分母，等于通分后的分数的分母        result.molecular = selfResult.molecular + otherResult.molecular;//结果的分子，等于两个分子想家            break;        case Substration:            result.denominator = selfResult.denominator;//结果分母，等于通分后的分数的分母            result.molecular = selfResult.molecular - otherResult.molecular;//结果的分子，等于两个分子想家            break;        case Multiplocation:            result.denominator = selfResult.denominator * otherResult.denominator;            result.molecular = selfResult.molecular * otherResult.molecular;            break;        case Dividing:            result.denominator = selfResult.denominator * otherResult.molecular;            result.molecular = selfResult.molecular * otherResult.denominator;            break;        default:            break;    }        [result simpleFraction];        return result;}//完成减法 乘法/***************************************************************************/@end

/***************************************************************************/    //        2）分数之间的约分问题；    //        3）属性及内存管理问题；    //        4）方法的调用及代码规范；    //创建并实例化2个分数    //        2、建立一个分数类，实现分数之间的加、减、乘、除操作（分母不能为0）    //        注：1）分数之间的通分问题；    Fraction *f1 = [[Fraction alloc] init];    f1.denominator = 18;    f1.molecular = 1;    Fraction *f2 = [[Fraction alloc] init];    f2.denominator = 6;    f2.molecular = 1;//    Fraction *f3 = [f1 plus:f2];//    Fraction *f4 = [f1 substration:f2];//    Fraction *f5 = [f1 multiplocation:f2];//    Fraction *f6 = [f1 dividing:f2];    Fraction *f7 = [f1 calculationWithFraction:f2 Operation:Plus];    Fraction *f8 = [f1 calculationWithFraction:f2 Operation:Substration];    Fraction *f9 = [f1 calculationWithFraction:f2 Operation:Multiplocation];    Fraction *f10 = [f1 calculationWithFraction:f2 Operation:Dividing];    NSLog(@"%@ + %@ =%@",f1,f2,f7);    NSLog(@"%@ + %@ =%@",f1,f2,f8);    NSLog(@"%@ + %@ =%@",f1,f2,f9);    NSLog(@"%@ + %@ =%@",f1,f2,f10);    //NSLog(@"该分数相加为：%ld/%ld，该分数相减为：%ld/%ld,该分数相乘为:%ld/%ld,该分数相除为:%ld/%ld",f3.molecular,f3.denominator,f4.molecular,f4.denominator,f5.molecular,f5.denominator,f6.molecular,f6.denominator);/****************************************************************************/